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mixas84 [53]
3 years ago
13

Factor the polynomial completely x4-36​

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

The factors of the polynomial are x = ± \sqrt{6}

Step-by-step explanation:

consider x⁴ - 36 = 0

(x² - 6) (x² + 6) = 0

x² = 6 and x² = -6

∴ x =  ±\sqrt{6}

The factors of the polynomial are x = ± \sqrt{6}

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Prove it using mathematical induction<br>​
Flura [38]

Answer:

Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.

Step-by-step explanation:

I'd really appreciate a brainleast please:)

4 0
3 years ago
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 :
Diano4ka-milaya [45]

Answer: (0.120,0.160)

Step-by-step explanation:

Given : Sample size : n=815

Number of disks were not defective =701

Then , the number of disks which are defective = 815-701=114

Now, the proportion of disks which are defective : p=\dfrac{114}{815}\approx0.14

Significance level : \alpha: 1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

The confidence interval for population proportion is given by :-

p\pm\ z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.14\pm(1.645)\sqrt{\dfrac{(0.14)(1-0.14)}{815}}\\\\\approx0.14\pm0.020=(0.14-0.020,0.14+0.020)=(0.120,0.160)

Hence, the 90% confidence interval for the population proportion of disks which are defective = (0.120,0.160)

7 0
3 years ago
if a line passes through the point (-2,3) and has a slope of 1/5, what would be the point-slope form?
Dmitry_Shevchenko [17]

Answer:

y-3=1/5(x+2)

Step-by-step explanation:

y-3=1/5(x--2)

the negatives cancel out making it

y-3=1/5(x+2)

3 0
3 years ago
Help asappp please i don’t get it at all but i just need the answer please thank you
jolli1 [7]

Answer:

14.25 + 24.50x ≤ 100

Step-by-step explanation:

you can spend NO MORE than $100 so you can spend less that's why the answer can be less than or = to 100 you can spend less than 100, or the exact amount of 100, but not more.

because you have to include the price of both costs (parking and person) that's why both need to be added

hope this helps and that it's correct :)

7 0
3 years ago
Hi can anyone plz help me with this and can you explain how you got it ​
Andrei [34K]

Answer:

50°

I hope it will be useful.

Step-by-step explanation:

Since the triangle is isosceles(see the sides),

opposite angles to the equal sides are equal.

(Property of isosceles triangles)

v.i.z., 2x=100°

4 0
3 years ago
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